圖書標籤: 數學 陶哲軒 組閤數學 combinatorics 計算機科學 算術組閤 math fourier
发表于2024-11-08
Additive Combinatorics pdf epub mobi txt 電子書 下載 2024
Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemeredi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.
題材很新穎,但typo太多,期待修訂版
評分Roth's theorem,Erdos distance problem etc入門讀物
評分Roth's theorem,Erdos distance problem etc入門讀物
評分Roth's theorem,Erdos distance problem etc入門讀物
評分Roth's theorem,Erdos distance problem etc入門讀物
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Additive Combinatorics pdf epub mobi txt 電子書 下載 2024